ArcGIS System Requirements
ArcGIS Desktop works with Windows Operating System only (Windows Vista, Windows XP, Window 2000 professional, Windows Server 2003 or 2008).
Hardware requirements:
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CPU Speed: 1.6 GHz recommended or higher
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Processor: Intel Core Duo, Pentium 4 or Xeon Processors
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Memory/RAM: 1 GB minimum, 2 GB recommended or higher
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Display Properties: 24 bit color depth
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Screen Resolution: 1024 x 768 recommended or higher at Normal size (96dpi)
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Swap Space: Determined by the operating system, 500 MB minimum
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Disk Space: 2.4 GB. In addition, up to 50 MB of disk space maybe needed in the Windows System directory (typically C:\Windows\System32). You can view the disk space requirement for each of the ArcGIS 9.3 components in the Setup program.
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Video/Graphics Adapter: 24-bit capable graphics accelerator
Source and more information on ArcGIS system requirements at ESRI Support Center